Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource

TL;DR

This paper demonstrates that the two-dimensional Affleck-Kennedy-Lieb-Tasaki state on a honeycomb lattice can serve as a universal resource for measurement-based quantum computation, expanding the known classes of computationally universal entangled states.

Contribution

It proves the universality of the 2D AKLT state on a honeycomb lattice for measurement-based quantum computation, a novel result in quantum information.

Findings

2D AKLT state on honeycomb lattice is a universal resource

Expands the class of known universal resource states

Supports measurement-based quantum computation

Abstract

Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state, such as cluster states. The family of Affleck-Kennedy-Lieb-Tasaki states has recently been intensively explored and shown to provide restricted computation. Here, we show that the two-dimensional Affleck-Kennedy-Lieb-Tasaki state on a honeycomb lattice is a universal resource for measurement-based quantum computation.